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Simplifying 6(4) + t + 18 = 10t + 4 + 2 Multiply 6 * 4 24 + t + 18 = 10t + 4 + 2 Reorder the terms: 24 + 18 + t = 10t + 4 + 2 Combine like terms: 24 + 18 = 42 42 + t = 10t + 4 + 2 Reorder the terms: 42 + t = 4 + 2 + 10t Combine like terms: 4 + 2 = 6 42 + t = 6 + 10t Solving 42 + t = 6 + 10t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-10t' to each side of the equation. 42 + t + -10t = 6 + 10t + -10t Combine like terms: t + -10t = -9t 42 + -9t = 6 + 10t + -10t Combine like terms: 10t + -10t = 0 42 + -9t = 6 + 0 42 + -9t = 6 Add '-42' to each side of the equation. 42 + -42 + -9t = 6 + -42 Combine like terms: 42 + -42 = 0 0 + -9t = 6 + -42 -9t = 6 + -42 Combine like terms: 6 + -42 = -36 -9t = -36 Divide each side by '-9'. t = 4 Simplifying t = 4
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